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QCDGauss

$\text{F}=M^{2}, \text{M}, \text{L}=M^{-1}, \text{T}=M^{-1}, \text{Q}, \Theta=M, \text{N}=M, \text{J}=M^{2}, \text{A}=\mathbb{1}, \text{R}=\mathbb{1}, \text{C}=\mathbb{1}$

Standard Constants

NameQuantityProduct
hyperfine transition$6.4487692037(20) \times 10^{-15}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\Delta\nu_\text{Cs}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{-1}$
light speed$1.0$ $[\mathbb{1}]$$1$
Planck$6.283185307179586$ $[\mathbb{1}]$$\tau$
Planck reduced$1.0$ $[\mathbb{1}]$$1$
electron mass$0.000544617021487(33)$ $[\text{m}_\text{p}]$$\mu_\text{eu}\cdot \mu_\text{pu}^{-1}$
molar mass$1.0$ $[\mathbb{1}]$$1$
Boltzmann$1.0$ $[\mathbb{1}]$$1$
vacuum permeability$12.566370614359172$ $[\text{e}_\text{n}^{-2}]$$\tau\cdot 2$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$1.0$ $[\mathbb{1}]$$1$
luminous efficacy$1.0$ $[\mathbb{1}]$$1$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$0.992776097862(52)$ $[\text{m}_\text{p}]$$\mu_\text{pu}^{-1}$
proton mass$1.0$ $[\text{m}_\text{p}]$$1$
Planck mass$1.301211(14) \times 10^{19}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{m}_\text{P}\cdot 2^{-1}$
Newton gravitation$5.90615(13) \times 10^{-39}$ $[\text{m}_\text{p}^{-2}]$$\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\text{m}_\text{P}^{-2}2^{2}$
Gauss gravitation$1.39670494144(44) \times 10^{-31}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{k}_\text{G}\cdot 2^{-15}3^{-7}5^{-5}$
Einstein gravitation$1.484378(33) \times 10^{-37}$ $[\text{m}_\text{p}^{-2}]$$\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\text{m}_\text{P}^{-2}\tau\cdot 2^{4}$
Hartree$2.90015940891(91) \times 10^{-8}$ $[\text{m}_\text{p}]$$\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}$
Rydberg$2.30787352841(72) \times 10^{-9}$ $[\text{m}_\text{p}]$$\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{-1}$
Bohr radius$251619.016075(41)$ $[\text{m}_\text{p}^{-1}]$$\alpha^{-1}\mu_\text{eu}^{-1}\mu_\text{pu}$
electron radius$13.3990534291(22)$ $[\text{m}_\text{p}^{-1}]$$\alpha\cdot \mu_\text{eu}^{-1}\mu_\text{pu}$
Avogadro$1.007276466621(53)$ $[\text{m}_\text{p}^{-1}]$$\mu_\text{pu}$
Molar gas$1.007276466621(53)$ $[\text{m}_\text{p}^{-1}]$$\mu_\text{pu}$
Stefan-Boltzmann$0.16449340668482262$ $[\mathbb{1}]$$\tau^{2}2^{-4}3^{-1}5^{-1}$
radiation density$0.6579736267392905$ $[\mathbb{1}]$$\tau^{2}2^{-2}3^{-1}5^{-1}$
vacuum permittivity$0.07957747154594767$ $[\text{e}_\text{n}^{2}]$$\tau^{-1}2^{-1}$
electrostatic$1.0$ $[\text{e}_\text{n}^{-2}]$$1$
magnetostatic$1.0$ $[\text{e}_\text{n}^{-2}]$$1$
Biot-Savart$1.0$ $[\text{e}_\text{n}^{-2}]$$1$
elementary charge$0.0854245431318(65)$ $[\text{e}_\text{n}]$$\alpha^{1/2}$
Faraday$0.0860461319686(80)$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}]$$\alpha^{1/2}\mu_\text{pu}$
vacuum impedance$12.566370614359172$ $[\text{e}_\text{n}^{-2}]$$\tau\cdot 2$
conductance quantum$0.00232281946577(36)$ $[\text{e}_\text{n}^{2}]$$\alpha\cdot \tau^{-1}2$
Klitzing$861.02257600(13)$ $[\text{e}_\text{n}^{-2}]$$\alpha^{-1}\tau$
Josephson$0.0271914766016(21)$ $[\text{e}_\text{n}]$$\alpha^{1/2}\tau^{-1}2$
magnetic flux quantum$36.7762300905(28)$ $[\text{e}_\text{n}^{-1}]$$\alpha^{-1/2}\tau\cdot 2^{-1}$
magneton$78.4262516241(76)$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}]$$\alpha^{1/2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot 2^{-1}$
Loschmidt$2.4992237798(23) \times 10^{-22}$ $[\text{m}_\text{p}^{3}]$$\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-3}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$
mechanical heat$0.507212813536(27)$ $[\text{m}_\text{p}]$$\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\mu_\text{pu}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$
Wien wavelength$1.2654664150541133$ $[\mathbb{1}]$
Wien frequency$0.44904602270732236$ $[\mathbb{1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$1.527(11) \times 10^{79}$ $[\text{m}_\text{p}]$$\hbar^{-2}\text{c}^{3}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}^{2}\tau^{-1/2}2^{8}3^{7/2}5^{6}$
solar mass$1.188798(26) \times 10^{57}$ $[\text{m}_\text{p}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-29}3^{-14}5^{-10}$
Jupiter mass$1.134820(25) \times 10^{54}$ $[\text{m}_\text{p}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{-1}$
Earth mass$3.570542(79) \times 10^{51}$ $[\text{m}_\text{p}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{-1}$
g-force$2.29475826602(72) \times 10^{-32}$ $[\text{m}_\text{p}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \tau^{-1}2^{-1}$
Earth radius$3.0314532625(32) \times 10^{22}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2$
great circle$1.9047182598(20) \times 10^{23}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2$
nautical mile$8.8181400918(93) \times 10^{18}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
Hubble$1.5382(95) \times 10^{-42}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{H}_0\cdot \text{au}^{-1}2^{-11}3^{-4}5^{-6}$
cosmological$4.890(73) \times 10^{-84}$ $[\text{m}_\text{p}^{2}]$$\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}2^{-22}3^{-7}5^{-12}$

Standard Units

Angle Units

NameQuantityProduct
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
radian$1.0$ $[\mathbb{1}]$$1$
spatian$3.5449077018110318$ $[\mathbb{1}]$$\tau^{1/2}2^{1/2}$
gradian$0.015707963267948967$ $[\mathbb{1}]$$\tau\cdot 2^{-4}5^{-2}$
bradian$0.02454369260617026$ $[\mathbb{1}]$$\tau\cdot 2^{-8}$
degree$0.017453292519943295$ $[\mathbb{1}]$$\tau\cdot 2^{-3}3^{-2}5^{-1}$
arc minute$0.0002908882086657217$ $[\mathbb{1}]$$\tau\cdot 2^{-5}3^{-3}5^{-2}$
arc second$4.84813681109536 \times 10^{-6}$ $[\mathbb{1}]$$\tau\cdot 2^{-7}3^{-4}5^{-3}$

Solid Angle Units

NameQuantityProduct
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
steradian$1.0$ $[\mathbb{1}]$$1$
square degree$0.0003046174197867087$ $[\mathbb{1}]$$\tau^{2}2^{-6}3^{-4}5^{-2}$

Time Units

NameQuantityProduct
second$1.42548624080(45) \times 10^{24}$ $[\text{m}_\text{p}^{-1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2$
minute$8.5529174448(27) \times 10^{25}$ $[\text{m}_\text{p}^{-1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{3}3\cdot 5$
hour$5.1317504669(16) \times 10^{27}$ $[\text{m}_\text{p}^{-1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{5}3^{2}5^{2}$
day$1.23162011205(38) \times 10^{29}$ $[\text{m}_\text{p}^{-1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{8}3^{3}5^{2}$
year$4.4984924593(14) \times 10^{31}$ $[\text{m}_\text{p}^{-1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$

Length Units

NameQuantityProduct
angstrom$475491.02813(15)$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{-9}5^{-10}$
inch$1.20774721145(38) \times 10^{14}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}\cdot \tau\cdot 2^{-1}3^{-1}$
foot$1.44929665374(45) \times 10^{15}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}\cdot \tau\cdot 2$
survey foot$1.44929955234(45) \times 10^{15}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}_\text{US}\cdot \tau\cdot 2$
yard$4.3478899612(14) \times 10^{15}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}\cdot \tau\cdot 2\cdot 3$
meter$4.7549102813(15) \times 10^{15}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2$
Earth meter$4.7617956496(50) \times 10^{15}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-8}5^{-7}$
mile$7.6522863317(24) \times 10^{18}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$
statute mile$7.6523016363(24) \times 10^{18}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}_\text{US}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$
meridian mile$8.8053894098(28) \times 10^{18}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{5}3^{-3}5^{5}$
admiralty mile$8.8117236547(28) \times 10^{18}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{ft}\cdot \tau\cdot 2^{7}5\cdot 19$
nautical mile$8.8181400918(93) \times 10^{18}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
lunar distance$1.82778275722(57) \times 10^{24}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{4}3^{3}5^{3}14237$
astronomical unit$7.1132445345(22) \times 10^{26}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{au}\cdot \tau\cdot 2$
Jupiter distance$3.7015978009(12) \times 10^{27}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{7}3\cdot 5^{6}259493$
light-year$4.4984924593(14) \times 10^{31}$ $[\text{m}_\text{p}^{-1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$
parsec$1.46721200570(46) \times 10^{32}$ $[\text{m}_\text{p}^{-1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{au}\cdot 2^{8}3^{4}5^{3}$

Speed Units

NameQuantityProduct
Bubnoff$1.0570008340246158 \times 10^{-16}$ $[\mathbb{1}]$$\text{c}^{-1}\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$
feet per minute$1.6945056036066124 \times 10^{-11}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$
inches per second$8.472528018033061 \times 10^{-11}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2^{-2}3^{-1}$
kilometers per hour$9.265669311059779 \times 10^{-10}$ $[\mathbb{1}]$$\text{c}^{-1}2^{-1}3^{-2}5$
feet per second$1.0167033621639674 \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}$
miles per hour$1.4911649311738188 \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$
knot$1.7183493525(17) \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}3^{-5}5^{-4}$
meters per second$3.3356409519815204 \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}$
miles per second$5.368193752225748 \times 10^{-6}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$

Area Units

NameQuantityProduct
barn$2260.91717830(14)$ $[\text{m}_\text{p}^{-2}]$$\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\tau^{2}2^{-26}5^{-28}$
hectare$2.2609171783(14) \times 10^{35}$ $[\text{m}_\text{p}^{-2}]$$\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\tau^{2}2^{6}5^{4}$
acre$9.1496072036(57) \times 10^{34}$ $[\text{m}_\text{p}^{-2}]$$\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\text{ft}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$
survey acre$9.1496438021(57) \times 10^{34}$ $[\text{m}_\text{p}^{-2}]$$\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\text{ft}_\text{US}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$1.0750458336(10) \times 10^{44}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\tau^{3}5^{-3}$
gallon$4.0694911670(38) \times 10^{44}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\text{ft}^{3}\tau^{3}2^{-3}3^{-2}7\cdot 11$
quart$1.01737279174(95) \times 10^{44}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\text{ft}^{3}\tau^{3}2^{-5}3^{-2}7\cdot 11$
pint$5.0868639587(48) \times 10^{43}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\text{ft}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$
cup$2.5434319794(24) \times 10^{43}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\text{ft}^{3}\tau^{3}2^{-7}3^{-2}7\cdot 11$
fluid ounce$3.1792899742(30) \times 10^{42}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\text{ft}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$
teaspoon$5.3752291682(50) \times 10^{41}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\tau^{3}2^{-3}5^{-5}$
tablespoon$1.6125687504(15) \times 10^{42}$ $[\text{m}_\text{p}^{-3}]$$\text{R}_{\infty}^{3}\alpha^{-6}\mu_\text{eu}^{-3}\mu_\text{pu}^{3}\tau^{3}2^{-3}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$5.9786374065(19) \times 10^{23}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-4}5^{-3}$
Earth gram$6.004647209(18) \times 10^{23}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-31}5^{-24}$
kilogram$5.9786374065(19) \times 10^{26}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-1}$
tonne$5.9786374065(19) \times 10^{29}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{2}5^{3}$
ton$5.4237286212(17) \times 10^{29}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot 2^{3}5^{3}$
pound (mass)$2.71186431060(85) \times 10^{26}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot 2^{-1}$
ounce$1.69491519413(53) \times 10^{25}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot 2^{-5}$
grain$3.8740918723(12) \times 10^{22}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot 2^{-4}5^{-3}7^{-1}$
slug$8.7251654008(27) \times 10^{27}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}$
slinch$1.04701984809(33) \times 10^{29}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2\cdot 3$
hyl$5.8630404523(18) \times 10^{27}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot 2^{-1}$

Force Units

NameQuantityProduct
dyne$1.39900247365(87) \times 10^{-11}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-7}5^{-5}$
newton$1.39900247365(87) \times 10^{-6}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-2}$
poundal$1.9341902317(12) \times 10^{-7}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-2}$
pound (force)$6.2230730431(39) \times 10^{-6}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{g}_0\cdot \text{lb}\cdot \tau^{-1}2^{-2}$
kilopond$1.37195276082(86) \times 10^{-5}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{g}_0\cdot \tau^{-1}2^{-2}$

Presure Units

NameQuantityProduct
pounds per square inch$4.2663139547(53) \times 10^{-34}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-3}3^{2}$
pascal$6.1877652444(77) \times 10^{-38}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}2^{-4}$
barye$6.1877652444(77) \times 10^{-39}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}2^{-5}5^{-1}$
bar$6.1877652444(77) \times 10^{-33}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}2\cdot 5^{5}$
technical atmosphere$6.0681248034(76) \times 10^{-33}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{g}_0\cdot \tau^{-3}5^{4}$
atmosphere$6.2697531339(78) \times 10^{-33}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{atm}\cdot \tau^{-3}2^{-4}$
inch mercury$2.0954180158(26) \times 10^{-34}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{in}_\text{Hg}^{-1}\tau^{-3}2^{-4}$
torr$8.249675176(10) \times 10^{-36}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{atm}\cdot \tau^{-3}2^{-7}5^{-1}19^{-1}$

Energy Units

NameQuantityProduct
erg$665.21312455(21)$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-8}5^{-7}$
joule$6.6521312455(21) \times 10^{9}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-1}$
foot-pound$9.0190789373(28) \times 10^{9}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{-1}$
calorie$2.78507261645(87) \times 10^{10}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2\cdot 3^{2}5\cdot 43^{-1}$
kilocalorie$2.78507261645(87) \times 10^{13}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}3^{2}5^{4}43^{-1}$
mean calorie$2.78514221863(87) \times 10^{10}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2\cdot 3^{2}5\cdot 43^{-1}1.0001900224889804$
Earth calorie$2.7971889538(85) \times 10^{10}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-26}3^{2}5^{-20}43^{-1}$
British thermal unit$7.0182649373(22) \times 10^{12}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}5^{5}43^{-1}$
gas gallon$8.0008220285(25) \times 10^{17}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3\cdot 5^{8}19\cdot 43^{-1}$
ton TNT$2.78507261645(87) \times 10^{19}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{10}3^{2}5^{10}43^{-1}$
electronvolt$1.06578892479(33) \times 10^{-9}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{e}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-1}$

Power Units

NameQuantityProduct
watt$4.6665699430(29) \times 10^{-15}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-2}$
horsepower (Watt)$3.4347313108(21) \times 10^{-12}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{2}3^{3}5^{-1}$
horsepower (Metric)$3.4322563599(21) \times 10^{-12}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{g}_0\cdot \tau^{-1}2^{-2}3\cdot 5^{2}$
horsepower$3.4798606072(22) \times 10^{-12}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-1}5^{2}11$
electrical horsepower$3.4812611775(22) \times 10^{-12}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-1}373$
tons refrigeration$1.6411394083(10) \times 10^{-11}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{4}3^{-1}5^{6}43^{-1}$
boiler horsepower$4.5780951411(29) \times 10^{-11}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{-1}3^{-2}5^{5}43^{-1}1339$

Thermodynamic Units

NameQuantityProduct
Kelvin$9.18425834883(48) \times 10^{-14}$ $[\text{m}_\text{p}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{pu}^{-1}2^{3}5^{3}$
Rankine$5.10236574935(27) \times 10^{-14}$ $[\text{m}_\text{p}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{pu}^{-1}2^{3}3^{-2}5^{4}$
Celsius$2.50868016798(13) \times 10^{-11}$ $[\text{m}_\text{p}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{pu}^{-1}\text{T}_0\cdot 2^{3}5^{3}$
Fahrenheit$2.34540446400(12) \times 10^{-11}$ $[\text{m}_\text{p}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{pu}^{-1}2^{3}3^{-2}5^{4}459.67$
sea level$2.64644404322(14) \times 10^{-11}$ $[\text{m}_\text{p}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{pu}^{-1}2^{3}5^{3}288.15$
boiling$3.42695813631(18) \times 10^{-11}$ $[\text{m}_\text{p}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{pu}^{-1}2^{3}5^{3}373.1339$
mole$5.9786374065(19) \times 10^{23}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-4}5^{-3}$
Earth-mole$6.004647209(18) \times 10^{23}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-31}5^{-24}$
pound-mole$2.71186431060(85) \times 10^{26}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{lb}\cdot 2^{-1}$
slug-mole$8.7251654008(27) \times 10^{27}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}$
slinch-mole$1.04701984809(33) \times 10^{29}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2\cdot 3$
katal$0.41941039032(26)$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-5}5^{-3}$
amagat$2.4811696318(24) \times 10^{-22}$ $[\text{m}_\text{p}^{4}]$$\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-4}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$

Photometric Units

NameQuantityProduct
lumen$6.8322626869(43) \times 10^{-18}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-2}$
candela$6.8322626869(43) \times 10^{-18}$ $[\text{m}_\text{p}^{2}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-1}2^{-2}$
lux$3.0218987022(38) \times 10^{-49}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}2^{-4}$
phot$3.0218987022(38) \times 10^{-45}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}5^{4}$
foot-candle$3.2527446919(41) \times 10^{-48}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{ft}^{-2}\tau^{-3}2^{-4}$
nit$3.0218987022(38) \times 10^{-49}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}2^{-4}$
abostilb$9.619002320(12) \times 10^{-50}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-4}2^{-3}$
stilb$3.0218987022(38) \times 10^{-45}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}5^{4}$
lambert$9.619002320(12) \times 10^{-46}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-4}2\cdot 5^{4}$
foot-lambert$1.0353807927(13) \times 10^{-48}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\text{ft}^{-2}\tau^{-4}2^{-3}$
bril$9.619002320(12) \times 10^{-57}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-4}2^{-10}5^{-7}$
talbot$9.7392964537(30) \times 10^{6}$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-1}$
lumerg$0.97392964537(30)$ $[\text{m}_\text{p}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-8}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$7.0151501388(22) \times 10^{-25}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{-1}$
actions per minute$1.16919168980(37) \times 10^{-26}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{-3}3^{-1}5^{-1}$
revolutions per minute$7.3462480466(23) \times 10^{-26}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}2^{-3}3^{-1}5^{-1}$
kayser$2.10308910335(66) \times 10^{-14}$ $[\text{m}_\text{p}]$$\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2\cdot 5^{2}$
diopter$2.10308910335(66) \times 10^{-16}$ $[\text{m}_\text{p}]$$\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{-1}$
rayleigh$630.490251690(20)$ $[\text{m}_\text{p}]$$\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{9}5^{10}$
flick$4.3408102213(68) \times 10^{-52}$ $[\text{m}_\text{p}^{5}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-5}\alpha^{10}\mu_\text{eu}^{5}\mu_\text{pu}^{-5}\tau^{-4}2^{5}5^{10}$
g-force$2.29475826602(72) \times 10^{-32}$ $[\text{m}_\text{p}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\text{g}_0\cdot \tau^{-1}2^{-1}$
galileo$2.34000220873(73) \times 10^{-35}$ $[\text{m}_\text{p}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{-3}5^{-2}$
eotvos$4.9212331470(31) \times 10^{-58}$ $[\text{m}_\text{p}^{2}]$$\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-2}2^{-11}5^{-9}$
darcy$2.2313517674(14) \times 10^{19}$ $[\text{m}_\text{p}^{-2}]$$\text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\text{atm}^{-1}\tau^{2}2^{-5}5^{-7}$
poise$8.8205742172(83) \times 10^{-15}$ $[\text{m}_\text{p}^{3}]$$\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-3}\tau^{-2}2^{-4}5^{-1}$
reyn$6.0815718414(57) \times 10^{-10}$ $[\text{m}_\text{p}^{3}]$$\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-2}2\cdot 3^{2}$
stokes$1586.06734573(50)$ $[\text{m}_\text{p}^{-1}]$$\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{-3}5^{-4}$
rayl$1.8550453522(23) \times 10^{-29}$ $[\text{m}_\text{p}^{4}]$$\hbar^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\mu_\text{eu}^{4}\mu_\text{pu}^{-4}\tau^{-3}2^{-4}$
mpg equivalent$9.5643751410(60)$ $[\text{m}_\text{p}^{-2}]$$\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{2}\alpha^{-4}\mu_\text{eu}^{-2}\mu_\text{pu}^{2}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\tau\cdot 2^{-2}5^{-7}11\cdot 19^{-1}43$
langley$1.2318330999(12) \times 10^{-17}$ $[\text{m}_\text{p}^{3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-3}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-2}2^{3}3^{2}5^{5}43^{-1}$
jansky$2.9422268579(28) \times 10^{-48}$ $[\text{m}_\text{p}^{3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-3}\tau^{-2}2^{-29}5^{-26}$
solar flux$2.9422268579(28) \times 10^{-44}$ $[\text{m}_\text{p}^{3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{3}\mu_\text{pu}^{-3}\tau^{-2}2^{-25}5^{-22}$
curie$2.59560555136(81) \times 10^{-14}$ $[\text{m}_\text{p}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1}2^{8}5^{9}37$
gray$1.1126500560536183 \times 10^{-17}$ $[\mathbb{1}]$$\text{c}^{-2}$
roentgen$2.30065145146(72) \times 10^{-13}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}]$$\hbar^{1/2}\text{c}^{-3/2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau^{1/2}2^{5/2}5^{3/2}/1.293$

Charge Units

NameQuantityProduct
coulomb$5.3317806099370496 \times 10^{17}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-7/2}5^{-7/2}$
Earth coulomb$5.347233206(11) \times 10^{17}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{1/2}\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-43/2}5^{-35/2}$
abcoulomb$5.331780609937051 \times 10^{18}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$
statcoulomb$1.778490574948703 \times 10^{8}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$

Current Units

NameQuantityProduct
ampere$3.7403241486(12) \times 10^{-7}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1/2}2^{-9/2}5^{-7/2}$
abampere$3.7403241486(12) \times 10^{-6}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1/2}2^{-7/2}5^{-5/2}$
statampere$1.24763784037(39) \times 10^{-16}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1/2}2^{-11/2}5^{-9/2}$

Electromotive Units

NameQuantityProduct
volt$1.24763784037(39) \times 10^{-8}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1/2}2^{5/2}5^{7/2}$
abvolt$1.24763784037(39) \times 10^{-16}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1/2}2^{-11/2}5^{-9/2}$
statvolt$3.7403241486(12) \times 10^{-6}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-1/2}2^{-7/2}5^{-5/2}$

Inductance Units

NameQuantityProduct
henry$4.7549102813(15) \times 10^{22}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}^{-2}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{8}5^{7}$
abhenry$4.7549102813(15) \times 10^{13}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}^{-2}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{-1}5^{-2}$
stathenry$4.2735002397(13) \times 10^{34}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}^{-2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{3}5^{2}$

Resistance Units

NameQuantityProduct
ohm$0.0333564095198152$ $[\text{e}_\text{n}^{-2}]$$\text{c}^{-1}2^{7}5^{7}$
abohm$3.335640951981521 \times 10^{-11}$ $[\text{e}_\text{n}^{-2}]$$\text{c}^{-1}2^{-2}5^{-2}$
statohm$2.99792458 \times 10^{10}$ $[\text{e}_\text{n}^{-2}]$$\text{c}\cdot 2^{2}5^{2}$

Conductance Units

NameQuantityProduct
siemens$29.9792458$ $[\text{e}_\text{n}^{2}]$$\text{c}\cdot 2^{-7}5^{-7}$
abmho$2.99792458 \times 10^{10}$ $[\text{e}_\text{n}^{2}]$$\text{c}\cdot 2^{2}5^{2}$
statmho$3.335640951981521 \times 10^{-11}$ $[\text{e}_\text{n}^{2}]$$\text{c}^{-1}2^{-2}5^{-2}$

Capacitance Units

NameQuantityProduct
farad$4.2735002397(13) \times 10^{25}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}^{2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{-6}5^{-7}$
abfarad$4.2735002397(13) \times 10^{34}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}^{2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{3}5^{2}$
statfarad$4.7549102813(15) \times 10^{13}$ $[\text{m}_\text{p}^{-1}\text{e}_\text{n}^{2}]$$\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau\cdot 2^{-1}5^{-2}$

Magnetic Flux Units

NameQuantityProduct
weber$1.778490574948703 \times 10^{16}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{7/2}5^{7/2}$
maxwell$1.778490574948703 \times 10^{8}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$
statfarad$5.331780609937051 \times 10^{18}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$7.8662349599(49) \times 10^{-16}$ $[\text{m}_\text{p}^{2}\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-3/2}2^{3/2}5^{7/2}$
gauss$7.8662349599(49) \times 10^{-20}$ $[\text{m}_\text{p}^{2}\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-3/2}2^{-5/2}5^{-1/2}$
stattesla$2.3582379138(15) \times 10^{-9}$ $[\text{m}_\text{p}^{2}\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-3/2}2^{-1/2}5^{3/2}$

Magnetic Specialized Units

NameQuantityProduct
oersted$6.2597508869(39) \times 10^{-21}$ $[\text{m}_\text{p}^{2}\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\mu_\text{eu}^{2}\mu_\text{pu}^{-2}\tau^{-5/2}2^{-7/2}5^{-1/2}$
gilbert$2.97645538507(93) \times 10^{-7}$ $[\text{m}_\text{p}\cdot \text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \mu_\text{pu}^{-1}\tau^{-3/2}2^{-9/2}5^{-5/2}$

Equivalent dimensional quantities

QuantityEquivalent Dimensions
$\mathbb{1}$dimensionless $[\mathbb{1}]$, angle $[A]$, solid angle $[A^{2}]$, stagnance $[L^{-1}T]$, speed $[LT^{-1}]$, gravity force $[F^{-1}MLT^{-2}]$, angular momentum $[FLTA^{-1}]$, specific energy $[FM^{-1}L]$, action $[FLT]$, susceptibility $[R^{-1}]$, demagnetizing factor $[R]$, entropy $[FLΘ^{-1}]$, molar mass $[MN^{-1}]$, molality $[M^{-1}N]$, molar energy $[FLN^{-1}]$, luminous efficacy $[F^{-1}L^{-1}TJ]$
$\text{m}_\text{p}^{-1}$time $[T]$, angular time $[TA^{-1}]$, length $[L]$, angular length $[LA^{-1}]$, diffusivity $[L^{2}T^{-1}]$, rotational inertia $[ML^{2}]$, specific entropy $[FM^{-1}LΘ^{-1}]$, thermal resistance $[F^{-1}L^{-1}TΘ]$, thermal expansion $[Θ^{-1}]$, molar entropy $[FLΘ^{-1}N^{-1}]$
$\text{m}_\text{p}^{-2}$area $[L^{2}]$, angular area $[L^{2}A^{-2}]$, volume flow $[L^{3}T^{-1}]$, etendue $[L^{2}A^{2}]$, thermal resistivity $[F^{-1}TΘ]$
$\text{m}_\text{p}^{-3}$volume $[L^{3}]$, compliance $[M^{-1}T^{2}]$, magnetic polarizability $[L^{3}A^{-1}R^{-1}]$, specificity $[L^{3}T^{-1}N^{-1}]$
$\text{m}_\text{p}$wavenumber $[L^{-1}]$, angular wavenumber $[L^{-1}A]$, frequency $[T^{-1}]$, angular frequency $[T^{-1}A]$, acceleration $[LT^{-2}]$, photon intensity $[T^{-1}A^{-2}]$, photon irradiance $[L^{-2}T]$, photon radiance $[L^{-2}TA^{-2}]$, inertia $[FL^{-1}T^{2}]$, mass $[M]$, specific force $[FM^{-1}]$, impulse $[FT]$, momentum $[MLT^{-1}]$, energy $[FL]$, temperature $[Θ]$, thermal conductance $[FLT^{-1}Θ^{-1}]$, molar amount $[N]$, luminous energy $[TJ]$
$\text{m}_\text{p}^{2}$fuel efficiency $[L^{-2}]$, frequency drift $[T^{-2}]$, jerk $[LT^{-3}]$, mass flow $[MT^{-1}]$, linear density $[ML^{-1}]$, force $[F]$, power $[FLT^{-1}]$, radiant intensity $[FLT^{-1}A^{-2}]$, spectral exposure $[FL^{-1}T]$, thermal conductivity $[FT^{-1}Θ^{-1}]$, lapse rate $[L^{-1}Θ]$, catalysis $[T^{-1}N]$, diffusion flux $[L^{-2}TN]$, luminous flux $[J]$, luminous intensity $[JA^{-2}]$
$\text{m}_\text{p}^{3}$number density $[L^{-3}]$, snap $[LT^{-4}]$, area density $[ML^{-2}]$, viscosity $[FL^{-2}T]$, yank $[MLT^{-3}]$, fluence $[FL^{-1}]$, spectral flux $[FT^{-1}]$, volume heat capacity $[FL^{-2}Θ^{-1}]$, luminous exposure $[L^{-2}TJ]$
$\text{m}_\text{p}^{4}$crackle $[LT^{-5}]$, density $[ML^{-3}]$, pressure $[FL^{-2}]$, irradiance $[FL^{-1}T^{-1}]$, radiance $[FL^{-1}T^{-1}A^{-2}]$, specific impedance $[FL^{-3}T]$, molarity $[L^{-3}N]$, luminance $[L^{-2}JA^{-2}]$, illuminance $[L^{-2}J]$
$\text{m}_\text{p}^{5}$pop $[LT^{-6}]$, specific weight $[FL^{-3}]$, power density $[FL^{-2}T^{-1}]$, inertance $[ML^{-4}]$
$\text{m}_\text{p}^{-4}$specific volume $[M^{-1}L^{3}]$, compressibility $[F^{-1}L^{2}]$, specific susceptibility $[M^{-1}L^{3}A^{-1}R^{-1}]$, molar volume $[L^{3}N^{-1}]$, molar susceptibility $[L^{3}N^{-1}A^{-1}R^{-1}]$
$\text{m}_\text{p}^{7}$sound exposure $[F^{2}L^{-4}T]$
$\text{m}_\text{p}^{6}$impedance $[FL^{-5}T]$
$\text{m}_\text{p}^{-6}$admittance $[F^{-1}L^{5}T^{-1}]$
$\text{e}_\text{n}$charge $[Q]$, pole strength $[LT^{-1}QA^{-1}C^{-1}]$
$\text{m}_\text{p}^{3}\text{e}_\text{n}$charge density $[L^{-3}Q]$, current density $[L^{-2}T^{-1}Q]$
$\text{m}_\text{p}\cdot \text{e}_\text{n}$linear charge density $[L^{-1}Q]$, current $[T^{-1}Q]$, magnetic potential $[T^{-1}QRC^{-1}]$
$\text{m}_\text{p}^{-1}\text{e}_\text{n}$exposure $[M^{-1}Q]$, electric dipole moment $[LQ]$, magnetic dipole moment $[L^{2}T^{-1}QA^{-1}C^{-1}]$
$\text{e}_\text{n}^{-1}$mobility $[FL^{3}T^{-1}Q^{-1}]$, electric flux $[FL^{2}Q^{-1}]$, magnetic flux $[FLTQ^{-1}C]$
$\text{e}_\text{n}^{-2}$resistance $[FLTQ^{-2}]$, permeability $[FT^{2}Q^{-2}R^{-1}C^{2}]$
$\text{e}_\text{n}^{2}$conductance $[F^{-1}L^{-1}T^{-1}Q^{2}]$, permittivity $[F^{-1}L^{-2}Q^{2}R]$
$\text{m}_\text{p}^{-1}\text{e}_\text{n}^{-2}$resistivity $[FL^{2}TQ^{-2}]$, inductance $[FLT^{2}Q^{-2}]$, permeance $[FLT^{2}Q^{-2}R^{-1}C^{2}]$
$\text{m}_\text{p}\cdot \text{e}_\text{n}^{2}$conductivity $[F^{-1}L^{-2}T^{-1}Q^{2}]$, reluctance $[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}]$
$\text{m}_\text{p}^{-1}\text{e}_\text{n}^{2}$capacitance $[F^{-1}L^{-1}Q^{2}]$
$\text{m}_\text{p}\cdot \text{e}_\text{n}^{-1}$vector potential $[FTQ^{-1}C]$, electric potential $[FLQ^{-1}]$
$\text{m}_\text{p}^{2}\text{e}_\text{n}^{-1}$electric field $[FQ^{-1}]$, magnetic flux density $[FL^{-1}TQ^{-1}C]$
$\text{m}_\text{p}^{2}\text{e}_\text{n}$magnetic field $[L^{-1}T^{-1}QRC^{-1}]$, electric displacement $[L^{-2}QR]$, specific magnetization $[F^{-1}ML^{-2}T^{-1}QC^{-1}]$
$\text{m}_\text{p}^{-3}\text{e}_\text{n}^{2}$electric polarizability $[F^{-1}LQ^{2}]$
$\text{m}_\text{p}^{-1}\text{e}_\text{n}^{-1}$magnetic moment $[FL^{2}TQ^{-1}C]$
$\text{m}_\text{p}^{-2}\text{e}_\text{n}^{2}$molar conductivity $[F^{-1}T^{-1}Q^{2}N^{-1}]$